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Finding the Fourth Proportional to 776.70, 1,165.23 and 429.86

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Solution

The fourth proportional to 776.70, 1,165.23 and 429.86 is: 644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.70 : 1,165.23 = 429.86 : x
  2. Step 2: Convert to fraction form
    776.70/1,165.23 = 429.86/x
  3. Step 3: Cross multiply
    776.70x = 1,165.23 × 429.86
  4. Step 4: Simplify right side
    776.70x = 500,888.68
  5. Step 5: Solve for x
    x = 500,888.68/776.70
  6. Step 6: Final answer
    x = 644.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.